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Popular Calculus Problems

integral of (sqrt(x^2-4))/(2x^3)	\int\:\frac{\sqrt{x^{2}-4}}{2x^{3}}dx
integral of (6x^2-12)/(x^3-6x+1)	\int\:\frac{6x^{2}-12}{x^{3}-6x+1}dx
integral of sqrt(e^x-9)	\int\:\sqrt{e^{x}-9}dx
integral of (cos(4x))/(sin(2x))	\int\:\frac{\cos(4x)}{\sin(2x)}dx
integral of sqrt(x)(2/(x^2)-x^3+2x)	\int\:\sqrt{x}(\frac{2}{x^{2}}-x^{3}+2x)dx
integral of (x^2+9x+2)/((x-1)(x+1)(x+2))	\int\:\frac{x^{2}+9x+2}{(x-1)(x+1)(x+2)}dx
integral of sin(0.01t)+t^3	\int\:\sin(0.01t)+t^{3}dt
integral of cos(2x)cos^2(5x)	\int\:\cos(2x)\cos^{2}(5x)dx
integral of x(7-x^2)	\int\:x(7-x^{2})dx
integral of log_{3}(6x^2)x	\int\:\log_{3}(6x^{2})xdx
integral of (2x^3+x+2)^2	\int\:(2x^{3}+x+2)^{2}dx
integral of 4/(sqrt(x^2+4))	\int\:\frac{4}{\sqrt{x^{2}+4}}dx
integral of 200e^{0.1x}+150e^{-0.3x}	\int\:200e^{0.1x}+150e^{-0.3x}dx
integral of 1/(3x^{-2)}	\int\:\frac{1}{3x^{-2}}dx
integral of (x^3-5x+10)*sin(2x)	\int\:(x^{3}-5x+10)\cdot\:\sin(2x)dx
integral of x^5(sqrt(1-x^2))	\int\:x^{5}(\sqrt{1-x^{2}})dx
integral of ((x+3)e^x)/((x+4)^2)	\int\:\frac{(x+3)e^{x}}{(x+4)^{2}}dx
integral of (x^3-2x^2+7x+5)	\int\:(x^{3}-2x^{2}+7x+5)dx
integral of 10tan^9(x)sec^2(x)	\int\:10\tan^{9}(x)\sec^{2}(x)dx
integral of 3/(xsqrt(9-x^2))	\int\:\frac{3}{x\sqrt{9-x^{2}}}dx
integral of (x^2-4x-2)/(x^3-2x^2+4x-8)	\int\:\frac{x^{2}-4x-2}{x^{3}-2x^{2}+4x-8}dx
integral of (3x+4)e^x	\int\:(3x+4)e^{x}dx
integral of cot^4(y)	\int\:\cot^{4}(y)dy
integral of x^{1/8}ln(x)	\int\:x^{\frac{1}{8}}\ln(x)dx
integral of sqrt(x^2+2x-7)	\int\:\sqrt{x^{2}+2x-7}dx
integral of 4/(xsqrt(4-x^2))	\int\:\frac{4}{x\sqrt{4-x^{2}}}dx
integral of-2/7 xcos(2/3 x)	\int\:-\frac{2}{7}x\cos(\frac{2}{3}x)dx
integral of (x^4+5x^3-2x+1)/(sqrt(x^4))	\int\:\frac{x^{4}+5x^{3}-2x+1}{\sqrt{x^{4}}}dx
integral of 200e^{0.1x}+120e^{-0.3x}	\int\:200e^{0.1x}+120e^{-0.3x}dx
integral of (sin(2x))/(2+cos^2(2x))	\int\:\frac{\sin(2x)}{2+\cos^{2}(2x)}dx
integral of 1/(x(ln(-x))^3)	\int\:\frac{1}{x(\ln(-x))^{3}}dx
integral of (1/(sqrt(2x-1)))^2	\int\:(\frac{1}{\sqrt{2x-1}})^{2}dx
integral of 1/2 sqrt(1-5x^2)	\int\:\frac{1}{2}\sqrt{1-5x^{2}}dx
integral of x^9\sqrt[3]{2-3x^5}	\int\:x^{9}\sqrt[3]{2-3x^{5}}dx
integral of x/((x+2)^7)	\int\:\frac{x}{(x+2)^{7}}dx
integral of (8x+1)cos(x/4)	\int\:(8x+1)\cos(\frac{x}{4})dx
integral of (10^{6x}+1)/(10^{3x)}	\int\:\frac{10^{6x}+1}{10^{3x}}dx
integral of 2x(x^2-3)^2	\int\:2x(x^{2}-3)^{2}dx
integral of 5t^{3/2}	\int\:5t^{\frac{3}{2}}dt
integral of (cos(2z))/(cos(z))	\int\:\frac{\cos(2z)}{\cos(z)}dz
integral of 2/(x(x^2+2)^2)	\int\:\frac{2}{x(x^{2}+2)^{2}}dx
integral of arctan(sqrt(u+1))	\int\:\arctan(\sqrt{u+1})du
integral of (cot(x))/(sin^7(x)+1)	\int\:\frac{\cot(x)}{\sin^{7}(x)+1}dx
integral of esec^2(y)	\int\:e\sec^{2}(y)dy
integral of z^3(a^2-z^2)^{3/2}	\int\:z^{3}(a^{2}-z^{2})^{\frac{3}{2}}dz
integral of (8-3x)/(10x^2+13x-3)	\int\:\frac{8-3x}{10x^{2}+13x-3}dx
integral of sqrt(5x)+sqrt(5/x)	\int\:\sqrt{5x}+\sqrt{\frac{5}{x}}dx
integral of 3^{2x+4}	\int\:3^{2x+4}dx
integral of 9x^5(x^3+2)^{15}	\int\:9x^{5}(x^{3}+2)^{15}dx
integral of (x+4)/(x^3+4x)	\int\:\frac{x+4}{x^{3}+4x}dx
integral of sec^2(4t)(3-tan(4t))^3	\int\:\sec^{2}(4t)(3-\tan(4t))^{3}dt
integral of x/((x+3)(x^2-4x+5)^2)	\int\:\frac{x}{(x+3)(x^{2}-4x+5)^{2}}dx
integral of (x^2-2)/(sqrt(x^3-6x))	\int\:\frac{x^{2}-2}{\sqrt{x^{3}-6x}}dx
integral of (5x+2)/(sqrt(x^2+2x+10))	\int\:\frac{5x+2}{\sqrt{x^{2}+2x+10}}dx
integral of (5r)/((1-r)^4)	\int\:\frac{5r}{(1-r)^{4}}dr
integral of+cos(ax)cos(bx)	\int\:+\cos(ax)\cos(bx)dx
integral of (x^2)/(sqrt(x^2-10))	\int\:\frac{x^{2}}{\sqrt{x^{2}-10}}dx
integral of 4/(x^2sqrt(x^2-16))	\int\:\frac{4}{x^{2}\sqrt{x^{2}-16}}dx
integral of xsin^3(x^2)	\int\:x\sin^{3}(x^{2})dx
integral of (cos(x))/((1+sin(x))^3)	\int\:\frac{\cos(x)}{(1+\sin(x))^{3}}dx
integral of cos^2(t)sin^5(t)	\int\:\cos^{2}(t)\sin^{5}(t)dt
integral of 3x^2(x^3-1)^4	\int\:3x^{2}(x^{3}-1)^{4}dx
integral of (x^3+2x)sqrt(x^4+4x^2+1)	\int\:(x^{3}+2x)\sqrt{x^{4}+4x^{2}+1}dx
integral of 1/(1+3sin^2(x))	\int\:\frac{1}{1+3\sin^{2}(x)}dx
integral of-6xcos(4x)	\int\:-6x\cos(4x)dx
integral of cot^5(5x)	\int\:\cot^{5}(5x)dx
integral of cot^3(4x)csc^2(4x)	\int\:\cot^{3}(4x)\csc^{2}(4x)dx
integral of (x+1)^2ln(3x)	\int\:(x+1)^{2}\ln(3x)dx
integral of (e^x+1/(x^2))	\int\:(e^{x}+\frac{1}{x^{2}})dx
integral of ((x-1)^2)/(\sqrt[5]{x^3)}	\int\:\frac{(x-1)^{2}}{\sqrt[5]{x^{3}}}dx
integral of 1/(u^4+u)	\int\:\frac{1}{u^{4}+u}du
integral of (x^3+x-4)/(x-1)	\int\:\frac{x^{3}+x-4}{x-1}dx
integral of (x^2-4x)e^x	\int\:(x^{2}-4x)e^{x}dx
integral of (5x^4-3)	\int\:(5x^{4}-3)dx
integral of (4sqrt(x^2-4))/(x^3)	\int\:\frac{4\sqrt{x^{2}-4}}{x^{3}}dx
integral of [m^2ln(m)]	\int\:[m^{2}\ln(m)]dm
integral of 5xsqrt(x+2)	\int\:5x\sqrt{x+2}dx
integral of (-5)/(3x)	\int\:\frac{-5}{3x}dx
integral of 7/((2x+1)(1+ln(2x+1))^2)	\int\:\frac{7}{(2x+1)(1+\ln(2x+1))^{2}}dx
integral of 5x^2sqrt((10x^3-7)^5)	\int\:5x^{2}\sqrt{(10x^{3}-7)^{5}}dx
integral of sin(x)(2cos(x))	\int\:\sin(x)(2\cos(x))dx
integral of csc^5(x)cot^5(x)	\int\:\csc^{5}(x)\cot^{5}(x)dx
integral of xsqrt(8+2x-x^2)	\int\:x\sqrt{8+2x-x^{2}}dx
integral of (ln(x))/(x(1+ln(x))^2)	\int\:\frac{\ln(x)}{x(1+\ln(x))^{2}}dx
integral of sec(1/2)ztan(1/2)z	\int\:\sec(\frac{1}{2})z\tan(\frac{1}{2})zdz
integral of e^{sec(w)}sec(w)tan(w)	\int\:e^{\sec(w)}\sec(w)\tan(w)dw
integral of (x^5sqrt(1-x^2))	\int\:(x^{5}\sqrt{1-x^{2}})dx
integral of (cot^2(4x))/(csc(4x))	\int\:\frac{\cot^{2}(4x)}{\csc(4x)}dx
integral of (2t-5)/(4t^2+1)	\int\:\frac{2t-5}{4t^{2}+1}dt
integral of (6x+7)e^{2x+1}	\int\:(6x+7)e^{2x+1}dx
integral of tan(7z)	\int\:\tan(7z)dz
integral of 1/2 xsec(x)tan(x)	\int\:\frac{1}{2}x\sec(x)\tan(x)dx
integral of (6x+3)/(sqrt(4x-1))	\int\:\frac{6x+3}{\sqrt{4x-1}}dx
integral of (5x)/(sqrt(x^2-1))	\int\:\frac{5x}{\sqrt{x^{2}-1}}dx
integral of 1/(sqrt(2x^2-4x-6))	\int\:\frac{1}{\sqrt{2x^{2}-4x-6}}dx
integral of (2x-1)/((2x^2-2x+4)^2)	\int\:\frac{2x-1}{(2x^{2}-2x+4)^{2}}dx
integral of 16xcos(4x)	\int\:16x\cos(4x)dx
integral of x^5(x^3+2)^{15}	\int\:x^{5}(x^{3}+2)^{15}dx
integral of (x^3-5x+10)sin(2x)	\int\:(x^{3}-5x+10)\sin(2x)dx
integral of sqrt(x)(4(x-1)^2+1/(x^3))	\int\:\sqrt{x}(4(x-1)^{2}+\frac{1}{x^{3}})dx

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